5(2x-3)+4=4(2x+1)-7

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Solution for 5(2x-3)+4=4(2x+1)-7 equation:


Simplifying
5(2x + -3) + 4 = 4(2x + 1) + -7

Reorder the terms:
5(-3 + 2x) + 4 = 4(2x + 1) + -7
(-3 * 5 + 2x * 5) + 4 = 4(2x + 1) + -7
(-15 + 10x) + 4 = 4(2x + 1) + -7

Reorder the terms:
-15 + 4 + 10x = 4(2x + 1) + -7

Combine like terms: -15 + 4 = -11
-11 + 10x = 4(2x + 1) + -7

Reorder the terms:
-11 + 10x = 4(1 + 2x) + -7
-11 + 10x = (1 * 4 + 2x * 4) + -7
-11 + 10x = (4 + 8x) + -7

Reorder the terms:
-11 + 10x = 4 + -7 + 8x

Combine like terms: 4 + -7 = -3
-11 + 10x = -3 + 8x

Solving
-11 + 10x = -3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-11 + 10x + -8x = -3 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-11 + 2x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
-11 + 2x = -3 + 0
-11 + 2x = -3

Add '11' to each side of the equation.
-11 + 11 + 2x = -3 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = -3 + 11
2x = -3 + 11

Combine like terms: -3 + 11 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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