2(4x-6)-7(-5x+8)=-197

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Solution for 2(4x-6)-7(-5x+8)=-197 equation:


Simplifying
2(4x + -6) + -7(-5x + 8) = -197
Reorder the terms:
2(-6 + 4x) + -7(-5x + 8) = -197
(-6 * 2 + 4x * 2) + -7(-5x + 8) = -197
(-12 + 8x) + -7(-5x + 8) = -197
Reorder the terms:
-12 + 8x + -7(8 + -5x) = -197
-12 + 8x + (8 * -7 + -5x * -7) = -197
-12 + 8x + (-56 + 35x) = -197
Reorder the terms:
-12 + -56 + 8x + 35x = -197
Combine like terms: -12 + -56 = -68
-68 + 8x + 35x = -197
Combine like terms: 8x + 35x = 43x
-68 + 43x = -197
Solving
-68 + 43x = -197
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '68' to each side of the equation.
-68 + 68 + 43x = -197 + 68
Combine like terms: -68 + 68 = 0
0 + 43x = -197 + 68
43x = -197 + 68
Combine like terms: -197 + 68 = -129
43x = -129
Divide each side by '43'.
x = -3
Simplifying
x = -3

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