Let's solve each equation step by step:
1) 5x - 7 * 5x - 2 = 90First, apply the distributive property on the left side:5x - 35x + 14 = 90Combine like terms:-30x + 14 = 90Subtract 14 from both sides:-30x = 76Divide by -30:x = -2.533
2) 3x + 1 + 3 = 210Combine like terms on the left side:3x + 4 = 210Subtract 4 from both sides:3x = 206Divide by 3:x = 68.667
3) 4x + 2/3 + 7 * 2x + 1 = 4First, simplify the left side:4x + 2/3 + 14x + 1 = 4Combine like terms:18x + 2/3 + 1 = 4Combine constants:18x + 2/3 + 3/3 = 418x + 5/3 = 4Subtract 5/3 from both sides:18x = 7/3Divide by 18:x = 7/54
Therefore, the solutions are:x = -2.533, x = 68.667, x = 7/54 or approximately 0.130 quadratically.
Let's solve each equation step by step:
1) 5x - 7 * 5x - 2 = 90
First, apply the distributive property on the left side:
5x - 35x + 14 = 90
Combine like terms:
-30x + 14 = 90
Subtract 14 from both sides:
-30x = 76
Divide by -30:
x = -2.533
2) 3x + 1 + 3 = 210
Combine like terms on the left side:
3x + 4 = 210
Subtract 4 from both sides:
3x = 206
Divide by 3:
x = 68.667
3) 4x + 2/3 + 7 * 2x + 1 = 4
First, simplify the left side:
4x + 2/3 + 14x + 1 = 4
Combine like terms:
18x + 2/3 + 1 = 4
Combine constants:
18x + 2/3 + 3/3 = 4
18x + 5/3 = 4
Subtract 5/3 from both sides:
18x = 7/3
Divide by 18:
x = 7/54
Therefore, the solutions are:
x = -2.533, x = 68.667, x = 7/54 or approximately 0.130 quadratically.