5(x-2)+2(3x-4)=8x-2+2x-7

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Solution for 5(x-2)+2(3x-4)=8x-2+2x-7 equation:


Simplifying
5(x + -2) + 2(3x + -4) = 8x + -2 + 2x + -7

Reorder the terms:
5(-2 + x) + 2(3x + -4) = 8x + -2 + 2x + -7
(-2 * 5 + x * 5) + 2(3x + -4) = 8x + -2 + 2x + -7
(-10 + 5x) + 2(3x + -4) = 8x + -2 + 2x + -7

Reorder the terms:
-10 + 5x + 2(-4 + 3x) = 8x + -2 + 2x + -7
-10 + 5x + (-4 * 2 + 3x * 2) = 8x + -2 + 2x + -7
-10 + 5x + (-8 + 6x) = 8x + -2 + 2x + -7

Reorder the terms:
-10 + -8 + 5x + 6x = 8x + -2 + 2x + -7

Combine like terms: -10 + -8 = -18
-18 + 5x + 6x = 8x + -2 + 2x + -7

Combine like terms: 5x + 6x = 11x
-18 + 11x = 8x + -2 + 2x + -7

Reorder the terms:
-18 + 11x = -2 + -7 + 8x + 2x

Combine like terms: -2 + -7 = -9
-18 + 11x = -9 + 8x + 2x

Combine like terms: 8x + 2x = 10x
-18 + 11x = -9 + 10x

Solving
-18 + 11x = -9 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-18 + 11x + -10x = -9 + 10x + -10x

Combine like terms: 11x + -10x = 1x
-18 + 1x = -9 + 10x + -10x

Combine like terms: 10x + -10x = 0
-18 + 1x = -9 + 0
-18 + 1x = -9

Add '18' to each side of the equation.
-18 + 18 + 1x = -9 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -9 + 18
1x = -9 + 18

Combine like terms: -9 + 18 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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