5(x-1)-2(x-7)=4(x+2)

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Solution for 5(x-1)-2(x-7)=4(x+2) equation:


Simplifying
5(x + -1) + -2(x + -7) = 4(x + 2)

Reorder the terms:
5(-1 + x) + -2(x + -7) = 4(x + 2)
(-1 * 5 + x * 5) + -2(x + -7) = 4(x + 2)
(-5 + 5x) + -2(x + -7) = 4(x + 2)

Reorder the terms:
-5 + 5x + -2(-7 + x) = 4(x + 2)
-5 + 5x + (-7 * -2 + x * -2) = 4(x + 2)
-5 + 5x + (14 + -2x) = 4(x + 2)

Reorder the terms:
-5 + 14 + 5x + -2x = 4(x + 2)

Combine like terms: -5 + 14 = 9
9 + 5x + -2x = 4(x + 2)

Combine like terms: 5x + -2x = 3x
9 + 3x = 4(x + 2)

Reorder the terms:
9 + 3x = 4(2 + x)
9 + 3x = (2 * 4 + x * 4)
9 + 3x = (8 + 4x)

Solving
9 + 3x = 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.
9 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = 8 + 0
9 + -1x = 8

Add '-9' to each side of the equation.
9 + -9 + -1x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 8 + -9
-1x = 8 + -9

Combine like terms: 8 + -9 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

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