4(x+2)-3=7(x-1)

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Solution for 4(x+2)-3=7(x-1) equation:


Simplifying
4(x + 2) + -3 = 7(x + -1)

Reorder the terms:
4(2 + x) + -3 = 7(x + -1)
(2 * 4 + x * 4) + -3 = 7(x + -1)
(8 + 4x) + -3 = 7(x + -1)

Reorder the terms:
8 + -3 + 4x = 7(x + -1)

Combine like terms: 8 + -3 = 5
5 + 4x = 7(x + -1)

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

Solving
5 + 4x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
5 + 4x + -7x = -7 + 7x + -7x

Combine like terms: 4x + -7x = -3x
5 + -3x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
5 + -3x = -7 + 0
5 + -3x = -7

Add '-5' to each side of the equation.
5 + -5 + -3x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -7 + -5
-3x = -7 + -5

Combine like terms: -7 + -5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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