10(5x-7)+6=4x-8

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Solution for 10(5x-7)+6=4x-8 equation:


Simplifying
10(5x + -7) + 6 = 4x + -8

Reorder the terms:
10(-7 + 5x) + 6 = 4x + -8
(-7 * 10 + 5x * 10) + 6 = 4x + -8
(-70 + 50x) + 6 = 4x + -8

Reorder the terms:
-70 + 6 + 50x = 4x + -8

Combine like terms: -70 + 6 = -64
-64 + 50x = 4x + -8

Reorder the terms:
-64 + 50x = -8 + 4x

Solving
-64 + 50x = -8 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-64 + 50x + -4x = -8 + 4x + -4x

Combine like terms: 50x + -4x = 46x
-64 + 46x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-64 + 46x = -8 + 0
-64 + 46x = -8

Add '64' to each side of the equation.
-64 + 64 + 46x = -8 + 64

Combine like terms: -64 + 64 = 0
0 + 46x = -8 + 64
46x = -8 + 64

Combine like terms: -8 + 64 = 56
46x = 56

Divide each side by '46'.
x = 1.217391304

Simplifying
x = 1.217391304

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